1310303012100 has 144 divisors (see below), whose sum is σ = 3928672882176. Its totient is φ = 336826368000.

The previous prime is 1310303012087. The next prime is 1310303012167. The reversal of 1310303012100 is 12103030131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1310303012100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2115990 + ... + 2664210.

Almost surely, 2^{1310303012100} is an apocalyptic number.

1310303012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310303012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964336441088).

1310303012100 is an abundant number, since it is smaller than the sum of its proper divisors (2618369870076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310303012100 is a wasteful number, since it uses less digits than its factorization.

1310303012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548526 (or 548519 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1310303012100 its reverse (12103030131), we get a palindrome (1322406042231).

The spelling of 1310303012100 in words is "one trillion, three hundred ten billion, three hundred three million, twelve thousand, one hundred".